We know JJ Abrams is a Star Wars fan. He now says he included R2-D2 in Star Trek, and Paramount is running a contest for astromech spotters. We think we got him in two places:
One is on board of the Enterprise, doing his thing. Yes, it may be a stretch to put R2 reprising his role onboard the X-Wing, but it would be a great way to pay homage to the movies and an awesome Easter Egg.
The other is an R2-D2 passing by on a lift fork, while Kirk and Bones are talking. If you want to participate, send the scene you think he is in to Paramount or go to Facebook's Star Trek group before the May 25. The sweepstakes prize is an original prop from the film.
Andi Wang donated her eyes to get this screenshots. She's not Bothan.